How many 6−letter words in which at least one letter appears more than once ,can be made from the letters in the word FLIGHT


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Question Number 133316 by bramlexs22 last updated on 21/Feb/21

$How many 6 - letter words in$ $which at least one letter appears$ $more than once, can be made from$ $the letters in the word FLIGHT$
Commented by mr W last updated on 21/Feb/21

$6^{6} - 6! = 45936$
	Answered by EDWIN88 last updated on 21/Feb/21

	$= 6^{6} - 720 = 45 936$
	Answered by mr W last updated on 22/Feb/21

	$a n o t h e r w a y :$ $w o r d s w i t h o n e l e t t e r : C_{1}^{6} \times 1 = 6$ $w o r d s w i t h t w o l e t t e r s : C_{2}^{6} \times 62 = 930$ $w o r d s w i t h t h r e e l e t t e r s : C_{3}^{6} \times 540 = 10800$ $w o r d s w i t h f o u r l e t t e r s : C_{4}^{6} \times 1560 = 23400$ $w o r d s w i t h f i v e l e t t e r s : C_{5}^{6} \times 1800 = 10800$ $Σ = 45936$
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